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Finding the Fourth Proportional to 1,157.57, 1,597.37 and 708.92

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Solution

The fourth proportional to 1,157.57, 1,597.37 and 708.92 is: 978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.57 : 1,597.37 = 708.92 : x
  2. Step 2: Convert to fraction form
    1,157.57/1,597.37 = 708.92/x
  3. Step 3: Cross multiply
    1,157.57x = 1,597.37 × 708.92
  4. Step 4: Simplify right side
    1,157.57x = 1,132,407.99
  5. Step 5: Solve for x
    x = 1,132,407.99/1,157.57
  6. Step 6: Final answer
    x = 978.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.